Canonical and phenomenological formulations of spin hydrodynamics

Daher, Asaad; Das, Arpan; Florkowski, Wojciech; Ryblewski, Radoslaw

doi:10.1103/PhysRevC.108.024902

Canonical and phenomenological formulations of spin hydrodynamics

Asaad Daher
(
- Cracow, INP
)
,
Arpan Das
(
- Cracow, INP
)
,
Wojciech Florkowski
(
- Jagiellonian U.
)
,
Radoslaw Ryblewski
(
- Cracow, INP
)

Feb 25, 2022

12 pages

Published in:

Phys.Rev.C 108 (2023) 2, 024902

Published: Aug 3, 2023

e-Print:

2202.12609 [nucl-th]

DOI:

10.1103/PhysRevC.108.024902 (publication)

View in:

pdf

reference search53 citations

Citations per year

Abstract: (APS)

Two formulations of relativistic hydrodynamics of particles with spin 1/2 are compared. The first approach, dubbed the canonical one, uses expressions for the energy-momentum and spin tensors that have properties that follow a direct application of Noether's theorem, which yields a totally antisymmetric spin tensor. The other one is based on a simplified form of the spin tensor and is commonly used in the current literature under the name of a phenomenological approach. We show that these two frameworks are equivalent, i.e., they can be directly connected by a suitably defined pseudogauge transformation, only if the first framework is initially improved by a suitable modification of the energy-momentum tensor (addition of a divergence-free term that cannot be interpreted as a pseudogauge). Our analysis uses arguments related to the positivity of entropy production. The latter turns out to be equivalent for the improved canonical and phenomenological frameworks.

Note:

Published in Physical Review C, journal reference: Phys. Rev. C 108, 024902 (2023). This manuscript matches the published version. 12 pages with no figures

spin: tensor
hydrodynamics: relativistic
spin: 1/2
entropy: production
tensor: energy-momentum
Noether
relativistic hydrodynamics with spin
dissipative spin hydrodynamics
pseudo-gauge
spin polarization

References(51)

Figures(0)

[1]

Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid

STAR

Collaboration

•

L. Adamczyk
(
- AGH-UST, Cracow
)

et al.

- Nature 548 (2017) 62-65
•
e-Print:
- 1701.06657
•
DOI:
- 10.1038/nature23004

[2]

Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{_{NN}}}$ = 200 GeV

STAR

Collaboration

•

Jaroslav Adam
(
- Creighton U.
)

et al.

- Phys.Rev.C 98 (2018) 014910
•
e-Print:
- 1805.04400
•
DOI:
- 10.1103/PhysRevC.98.014910

[3]

Polarization of $\Lambda$ ( $\bar{\Lambda}$ ) hyperons along the beam direction in Au+Au collisions at $\sqrt{s_{_{NN}}}$ = 200 GeV

STAR

Collaboration

•

Jaroslav Adam
(
- Creighton U.
)

et al.

- Phys.Rev.Lett. 123 (2019) 13, 132301
•
e-Print:
- 1905.11917
•
DOI:
- 10.1103/PhysRevLett.123.132301

[4]

Global polarization of $\Lambda \bar \Lambda$ hyperons in Pb-Pb collisions at $\sqrt {s_{NN}}$ = 2.76 and 5.02 TeV

ALICE

Collaboration

•

Shreyasi Acharya
(
- Calcutta, VECC
)

et al.

- Phys.Rev.C 101 (2020) 4, 044611,
- Phys.Rev.C 105 (2022) 2, 029902 (erratum)
•
e-Print:
- 1909.01281
•
DOI:
- 10.1103/PhysRevC.101.044611

[5]

Evidence of Spin-Orbital Angular Momentum Interactions in Relativistic Heavy-Ion Collisions

ALICE

Collaboration

•

Shreyasi Acharya
(
- Calcutta, VECC
)

et al.

- Phys.Rev.Lett. 125 (2020) 1, 012301
•
e-Print:
- 1910.14408
•
DOI:
- 10.1103/PhysRevLett.125.012301

[6]

Global Polarization of $\Xi$ and $\Omega$ Hyperons in Au+Au Collisions at $\sqrt {s_{NN}}$ = 200 GeV

STAR

Collaboration

•

J. Adam
(
- Brookhaven
)

et al.

- Phys.Rev.Lett. 126 (2021) 16, 162301,
- Phys.Rev.Lett. 131 (2023) 8, 089901 (erratum)
•
e-Print:
- 2012.13601
•
DOI:
- 10.1103/PhysRevLett.126.162301